Can't you straighforwardly strike the "Fourth Amendment... construed" part and leave the core "no agency of the US government... [shall]"? Because that's be solidly in the purview of Congress. And my flimsy understanding of law is that, if SCOTUS were to look at this, they would do something like what I said -- respecting the intent of the legislature as closely as possible -- rather than throwing out the whole thing.

I think this bill isn't expected to pass anyway, so it makes sense if it's been optimized for rhetorical, not legal, power.